Oh my! When I was bowel cleansing with b&p's I got out some mucoid plaque that I always described as 'frond-like delicate, detailed branches'! Sounds soooo much like your seaweed with balls! Mine had these flattened pea-sized balls on the ends of the branches! Weird eh? I think that it is mucoid plaque from the small intestine....? hmmmmmm...wild.
Yup, just because you throw up doesn't mean you don't get out stones. (I threw up once and still got out stones - your liver just has to be quickly confronted with the fats to send out all the bile & stones - this happens pretty quickly)
Also...does your throat feel like a 'plum pit' is stuck in it? If this is the way you feel, get back to me...I have a VERY interesting and synchronistic story to tell you then!